To solve this problem, we are going to use the formula for finding the volume of a sphere, which is 4/3 π r³.
We can observe from the diagram that the diameter is 14 and we know that the radius is 1/2 of the diameter.
1/2 14 = 7
Thus, the radius of the sphere is 7.
Now, let's find the area by using the formula.
4/3 π r³ = 4/3π 7³ = 4/3π 343 = 457 1/3 π ≈ 1436.76 feet³
Therefore, your answer is 1436.76 feet³, or the second option.
Hope this helps!
